Another Silly puzzle

[Smitha Nishant]

Nishant Sivakumar wrote:

blow the air away creating a small vacuum pocket

:omg::omg::omg: Every problem has a gift for you in its hands. -- Richard Bach

[Nish Nishant]

Quartz... wrote:

1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 ......

Tried it till INT_MAX and only got just past 21 :-( Regards, Nish

---

Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
The Ultimate Grid - The #1 MFC grid out there!

[Jon Sagara]

Quartz... wrote:

When will the sum of this series exceed 100 ?

e100? Jon Sagara When I grow up, I'm changing my name to Joe Kickass! My Site | My Blog | My Articles -- modified at 15:12 Tuesday 9th May, 2006

[QuiJohn]

After 5 billion it's only up to about 21.9. It could be a while. :)

[Chris Losinger]

do you know how airplane wings work? Cleek | Image Toolkits | Thumbnail maker

[Nish Nishant]

Chris Losinger wrote:

do you know how airplane wings work?

That works on the vacuum principle too, eh? Regards, Nish

---

Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
The Ultimate Grid - The #1 MFC grid out there!

[Russell Morris]

The series for e^x is more complicated than that: e^x = 1 + x + x^2/2! + x^3/3! + ... + x^n/n! + ... where n is an integer and goes from 0 to infinity If you differentiate term n of this series, you find that you get term n-1 as a result. That's why the derivative of e^x is still e^x :) I always liked that for some reason.

[Richard Andrew x64]

The sum will never even reach the number 1, much less exceed 100. And the candle gets extinguished from the carbon dioxide in our breath. Rich ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸¸,ø¤º°`°º¤ø,¸

[Chris Losinger]

Nishant Sivakumar wrote:

That works on the vacuum principle too, eh?

a wing will create small pockets of (partial) vacuum as air moves around it. it's under debate as to whether this is the actual source of lift or not. Cleek | Image Toolkits | Thumbnail maker

[Raj Lal]

You got it right. Here is your prize Up [^] --- My Unedited article^

[Wjousts]

Funny, 'cos I'm up to 34000000000 or so and I've got a total of nearly 24 which is clearly more than 1. Look at the sequence more carefully. It's not 1/2 + 1/4 + 1/8 +....

[Nish Nishant]

Troposphere wrote:

The sum will never even reach the number 1, much less exceed 100.

You are kidding, right? :omg: It crosses 1 after the 3rd fraction in the series. 1/2 + 1/3 + 1/4 = 1.08333 Regards, Nish

---

Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
The Ultimate Grid - The #1 MFC grid out there!

[Wjousts]

Woohoo! Now that's a big candle. Need a lot of puff to blow that one out. That's what she said ;)

[Raj Lal]

Troposphere wrote:

And the candle gets extinguished from the carbon dioxide in our breath.

And if you blow air by some other method it won't ? --- My Unedited article^

[Dan Neely]

I want to say this is a nonconverging series, but it's been a long time since I did those in math, and google ignores /'s even when they're inside of quotes.

[Raj Lal]

OK lets divide it in two parts Question 1

Quartz... wrote:

When will the sum of this series exceed 100 ?

Question 2

Quartz... wrote:

Will it EVER ?

simple looking problems, are sometimes the most challenging ones. --- My Unedited article^

[Jerry Hammond]

I usually clean the wax out of my ears for that effect... Asking someone to define CP is like asking someone to define art. It is a known, a tangable thing, a state of being. To define it is to limit and miss its true nature.

[Chris Losinger]

it's very close to the Harmonic Series[^], it just starts with i=2, instead of i=1. Cleek | Image Toolkits | Thumbnail maker

[Raj Lal]

Mathworld here[^] --- My Unedited article^

[Marc Clifton]

Chris Losinger wrote:

it's under debate as to whether this is the actual source of lift or not.

You mean they still don't know? I've always been told that's why the plane lifts (but honestly, I never quite believed it. Just stick your hand out a moving car window and it seems that the angle of attack has a major affect as well, though maybe that's BECAUSE of the low pressure on the back of one's hand). Marc Pensieve Some people believe what the bible says. Literally. At least [with Wikipedia] you have the chance to correct the wiki -- Jörgen Sigvardsson